IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v248y2025ics0960148125007177.html

Mixed-frequency fusion grey panel model for spatiotemporal prediction of photovoltaic power generation

Author

Listed:
  • Zuo, Ziyue
  • Xiao, Xinping
  • Gao, Mingyun
  • Rao, Congjun

Abstract

Accurate prediction of photovoltaic power generation (PPG) is vital for renewable energy stability, economic viability, and sustainable development. Existing energy prediction models rely on data sampled at single-frequency or single-frequency-multiple. To effectively address the spatiotemporal prediction challenges in PPG caused by varying sampling frequency differences (asynchronous mixed-frequency), this study first proposes a novel mixed-frequency fusion grey panel model. To improve accuracy, a two-stage parameter estimation combining quasi-maximum likelihood estimation with a meta-heuristic algorithm is developed, with unbiasedness, consistency, and efficiency validated through mathematical analysis and Monte Carlo simulations. Finally, using asynchronous mixed-frequency panel datasets from photovoltaic users in China, the new model is compared and empirically analyzed against eight benchmark models. Comparative results demonstrate that the new model exhibits significant advantages in prediction performance, stability, and generalization capability. It can directly utilize asynchronous high-frequency meteorological indicators, like weekly, ten-day, and monthly irradiation, wind speed, and precipitation to predict low-frequency PPG. Empirical results indicate that irradiation changes can rapidly affect PPG, while the impact of wind speed takes longer to manifest. Additionally, the spatial dependence of PPG is relatively limited, but historical cumulative effects significantly suppress the output. Furthermore, the future monthly PPG overall exhibits a seasonal downward trend.

Suggested Citation

  • Zuo, Ziyue & Xiao, Xinping & Gao, Mingyun & Rao, Congjun, 2025. "Mixed-frequency fusion grey panel model for spatiotemporal prediction of photovoltaic power generation," Renewable Energy, Elsevier, vol. 248(C).
  • Handle: RePEc:eee:renene:v:248:y:2025:i:c:s0960148125007177
    DOI: 10.1016/j.renene.2025.123055
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148125007177
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.renene.2025.123055?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Yu, Jihai & de Jong, Robert & Lee, Lung-fei, 2008. "Quasi-maximum likelihood estimators for spatial dynamic panel data with fixed effects when both n and T are large," Journal of Econometrics, Elsevier, vol. 146(1), pages 118-134, September.
    2. Wang, Yong & He, Xinbo & Zhou, Ying & Luo, Yongxian & Tang, Yanbing & Narayanan, Govindasami, 2024. "A novel structure adaptive grey seasonal model with data reorganization and its application in solar photovoltaic power generation prediction," Energy, Elsevier, vol. 302(C).
    3. Afzal, Asif & Buradi, Abdulrajak & Jilte, Ravindra & Shaik, Saboor & Kaladgi, Abdul Razak & Arıcı, Muslum & Lee, Chew Tin & Nižetić, Sandro, 2023. "Optimizing the thermal performance of solar energy devices using meta-heuristic algorithms: A critical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 173(C).
    4. Xie, Derong & Chen, Hongli & Duan, Huiming, 2024. "A dynamic multivariate partial grey model based on the traffic flow parameter equation and its application," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 656(C).
    5. S. Khorram & N. Jehbez, 2023. "A Hybrid CNN-LSTM Approach for Monthly Reservoir Inflow Forecasting," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(10), pages 4097-4121, August.
    6. Galdi, Giulio & Casarin, Roberto & Ferrari, Davide & Fezzi, Carlo & Ravazzolo, Francesco, 2023. "Nowcasting industrial production using linear and non-linear models of electricity demand," Energy Economics, Elsevier, vol. 126(C).
    7. Wang, Yong & Yang, Zhongsen & Zhou, Ying & Liu, Hao & Yang, Rui & Sun, Lang & Sapnken, Flavian Emmanuel & Narayanan, Govindasami, 2025. "A novel structure adaptive new information priority grey Bernoulli model and its application in China's renewable energy production," Renewable Energy, Elsevier, vol. 239(C).
    8. Amendola, Alessandra & Candila, Vincenzo & Gallo, Giampiero M., 2021. "Choosing the frequency of volatility components within the Double Asymmetric GARCH–MIDAS–X model," Econometrics and Statistics, Elsevier, vol. 20(C), pages 12-28.
    9. Gao, Mingyun & Yang, Honglin & Xiao, Qinzi & Goh, Mark, 2022. "COVID-19 lockdowns and air quality: Evidence from grey spatiotemporal forecasts," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    10. Ballarin, Giovanni & Dellaportas, Petros & Grigoryeva, Lyudmila & Hirt, Marcel & van Huellen, Sophie & Ortega, Juan-Pablo, 2024. "Reservoir computing for macroeconomic forecasting with mixed-frequency data," International Journal of Forecasting, Elsevier, vol. 40(3), pages 1206-1237.
    11. Nguyen, Thi Ngoc & Müsgens, Felix, 2022. "What drives the accuracy of PV output forecasts?," Applied Energy, Elsevier, vol. 323(C).
    12. Cai, Zhengzheng & Zhu, Yanli & Han, Xiaoyi, 2022. "Bayesian analysis of spatial dynamic panel data model with convex combinations of different spatial weight matrices: A reparameterized approach," Economics Letters, Elsevier, vol. 217(C).
    13. Doan, Minh Phuong & Sercu, Piet, 2021. "Modelling multiperiod patterns in stock-market reactions to events, with an application to serial acquisitions," International Review of Financial Analysis, Elsevier, vol. 77(C).
    14. Ren, Tongxian & Long, Zhihe & Zhang, Rengui & Chen, Qingqing, 2014. "Moran's I test of spatial panel data model — Based on bootstrap method," Economic Modelling, Elsevier, vol. 41(C), pages 9-14.
    15. He, Xinbo & Wang, Yong & Zhang, Yuyang & Ma, Xin & Wu, Wenqing & Zhang, Lei, 2022. "A novel structure adaptive new information priority discrete grey prediction model and its application in renewable energy generation forecasting," Applied Energy, Elsevier, vol. 325(C).
    16. Zhou, Yifei & Wang, Shunli & Xie, Yanxing & Shen, Xianfeng & Fernandez, Carlos, 2023. "Remaining useful life prediction and state of health diagnosis for lithium-ion batteries based on improved grey wolf optimization algorithm-deep extreme learning machine algorithm," Energy, Elsevier, vol. 285(C).
    17. Han, Shuang & Qiao, Yan-hui & Yan, Jie & Liu, Yong-qian & Li, Li & Wang, Zheng, 2019. "Mid-to-long term wind and photovoltaic power generation prediction based on copula function and long short term memory network," Applied Energy, Elsevier, vol. 239(C), pages 181-191.
    18. An, Yimeng & Dang, Yaoguo & Wang, Junjie & Zhou, Huimin & Mai, Son T., 2024. "Mixed-frequency data Sampling Grey system Model: Forecasting annual CO2 emissions in China with quarterly and monthly economic-energy indicators," Applied Energy, Elsevier, vol. 370(C).
    19. Lu, Wanbo & Liu, Qibo & Wang, Jie, 2024. "Effect of electricity policy uncertainty and carbon emission prices on electricity demand in China based on mixed-frequency data models," Utilities Policy, Elsevier, vol. 91(C).
    20. Ding, Ziyu & Wen, Xin & Tan, Qiaofeng & Yang, Tiantian & Fang, Guohua & Lei, Xiaohui & Zhang, Yu & Wang, Hao, 2021. "A forecast-driven decision-making model for long-term operation of a hydro-wind-photovoltaic hybrid system," Applied Energy, Elsevier, vol. 291(C).
    21. Wang, Junjie & Ye, Li & Ding, Xiaoyu & Dang, Yaoguo, 2024. "A novel seasonal grey prediction model with time-lag and interactive effects for forecasting the photovoltaic power generation," Energy, Elsevier, vol. 304(C).
    22. Gou, Xiaoyi & Mi, Chuanmin & Zeng, Bo, 2025. "Mixed-frequency grey prediction model with fractional lags for electricity demand and estimation of coal power phase-out scale," Energy, Elsevier, vol. 320(C).
    23. Ramirez-Rosado, Ignacio J. & Fernandez-Jimenez, L. Alfredo & Monteiro, Claudio & Garcia-Garrido, Eduardo & Zorzano-Santamaria, Pedro, 2011. "Spatial long-term forecasting of small power photovoltaic systems expansion," Renewable Energy, Elsevier, vol. 36(12), pages 3499-3506.
    24. Lan, Haifeng & Hou, Huiying (Cynthia) & Gou, Zhonghua & Wong, Man Sing, 2024. "Spatiotemporal analysis and forecasting of PV systems, battery storage, and EV charging diffusion in California: A graph network approach," Renewable Energy, Elsevier, vol. 230(C).
    25. Xiong, Xin & Hu, Xi & Tian, Tian & Guo, Huan & Liao, Han, 2022. "A novel Optimized initial condition and Seasonal division based Grey Seasonal Variation Index model for hydropower generation," Applied Energy, Elsevier, vol. 328(C).
    26. Wang, Xiaodi & Hao, Yan & Yang, Wendong, 2024. "Novel wind power ensemble forecasting system based on mixed-frequency modeling and interpretable base model selection strategy," Energy, Elsevier, vol. 297(C).
    27. Niu, Yanbiao & Yan, Xuefeng & Zeng, Weiping & Wang, Yongzhen & Niu, Yanzhao, 2025. "Multi-objective sand cat swarm optimization based on adaptive clustering for solving multimodal multi-objective optimization problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 391-404.
    28. Niu, Yunbo & Wang, Jianzhou & Zhang, Ziyuan & Luo, Tianrui & Liu, Jingjiang, 2024. "De-Trend First, Attend Next: A Mid-Term PV forecasting system with attention mechanism and encoder–decoder structure," Applied Energy, Elsevier, vol. 353(PB).
    29. Yu, Yue & Xiao, Xinping & Gao, Mingyun & Rao, Congjun, 2025. "Dynamic time-delay discrete grey model based on GOWA operator for renewable energy generation cost prediction," Renewable Energy, Elsevier, vol. 242(C).
    30. Wang, Jiangbo & Yamamoto, Toshiyuki & Liu, Kai, 2021. "Spatial dependence and spillover effects in customized bus demand: Empirical evidence using spatial dynamic panel models," Transport Policy, Elsevier, vol. 105(C), pages 166-180.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhao, Kai & Shi, Kaihe & Wu, Lifeng, 2025. "Spatiotemporal grey evolution in the dual control of the energy consumption," Energy, Elsevier, vol. 340(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Yong & Yang, Rui & Sun, Lang & Yang, Zhongsen & Sapnken, Flavian Emmanuel & Li, Hong-Li, 2025. "A novel time-lag discrete grey Euler model and its application in renewable energy generation prediction," Renewable Energy, Elsevier, vol. 245(C).
    2. Wang, Yong & Wang, Yunhui & Zhang, Zejia & Sun, Lang & Yang, Rui & Sapnken, Flavian Emmanuel & Xiao, Wenlian, 2025. "A novel fractional-order kernel regularized non-homogeneous grey Riccati model and its application in oil reserves prediction," Energy, Elsevier, vol. 316(C).
    3. Peng Zhang & Jinsong Hu & Kelong Zheng & Wenqing Wu & Xin Ma, 2025. "Forecasting Renewable Power Generation by Employing a Probabilistic Accumulation Non-Homogeneous Grey Model," Energies, MDPI, vol. 18(18), pages 1-33, September.
    4. Wang, Yong & Sun, Lang & Yang, Rui & Yang, Zhongsen & Sapnken, Flavian Emmanuel & Yang, Mou, 2025. "A novel variable weight accumulation multiple power-law grey Bernoulli model and its application in China's electricity supply and consumption prediction," Energy, Elsevier, vol. 317(C).
    5. Ji, Mingyang & Du, Juntao & Du, Pei & Niu, Tong & Wang, Jianzhou, 2025. "A novel probabilistic carbon price prediction model: Integrating the transformer framework with mixed-frequency modeling at different quartiles," Applied Energy, Elsevier, vol. 391(C).
    6. Wang, Yong & Yang, Zhongsen & Zhou, Ying & Liu, Hao & Yang, Rui & Sun, Lang & Sapnken, Flavian Emmanuel & Narayanan, Govindasami, 2025. "A novel structure adaptive new information priority grey Bernoulli model and its application in China's renewable energy production," Renewable Energy, Elsevier, vol. 239(C).
    7. Tian, Zhirui & Liang, Bingjie, 2025. "PVMTF: End-to-end long-sequence time-series forecasting frameworks based on patch technique and information fusion coding for mid-term photovoltaic power forecasting," Applied Energy, Elsevier, vol. 396(C).
    8. Li, Xuemei & Li, Jiakai & Zhao, Yufeng & Zhou, Shiwei, 2025. "A novel discrete multivariable grey model with seasonal time-lag effect for clean energy generation forecasting," Energy, Elsevier, vol. 334(C).
    9. Zhang, Mingyue & Han, Yang & Wang, Chaoyang & Yang, Ping & Wang, Congling & Zalhaf, Amr S., 2024. "Ultra-short-term photovoltaic power prediction based on similar day clustering and temporal convolutional network with bidirectional long short-term memory model: A case study using DKASC data," Applied Energy, Elsevier, vol. 375(C).
    10. Wang, Yong & Yang, Zhongsen & Luo, Yongxian & Yang, Rui & Sun, Lang & Sapnken, Flavian Emmanuel & Narayanan, Govindasami, 2024. "A novel structural adaptive Caputo fractional order derivative multivariate grey model and its application in China's energy production and consumption prediction," Energy, Elsevier, vol. 312(C).
    11. Li, He & Liu, Pan & Guo, Shenglian & Zuo, Qiting & Cheng, Lei & Tao, Jie & Huang, Kangdi & Yang, Zhikai & Han, Dongyang & Ming, Bo, 2022. "Integrating teleconnection factors into long-term complementary operating rules for hybrid power systems: A case study of Longyangxia hydro-photovoltaic plant in China," Renewable Energy, Elsevier, vol. 186(C), pages 517-534.
    12. Deng, Feng & Wang, Tianhang & Tao, Wanting & Darkwa, Jo & Li, Yilin, 2025. "A LSTM-model based approach for long-term forecasting of high-rise residential building integrated photovoltaic system," Energy, Elsevier, vol. 338(C).
    13. Liu, Zhenlu & Guo, Junhong & Wang, Xiaoxuan & Wang, Yuexin & Li, Wei & Wang, Xiuquan & Fan, Yurui & Wang, Wenwen, 2024. "Prediction of long-term photovoltaic power generation in the context of climate change," Renewable Energy, Elsevier, vol. 235(C).
    14. Li, Xuemei & Shi, Yansong & Zhao, Yufeng & Wu, Yajie & Zhou, Shiwei, 2024. "Seasonal waste, geotherm, nuclear, wood net power generations forecasting using a novel hybrid grey model with seasonally buffered and time-varying effect," Applied Energy, Elsevier, vol. 368(C).
    15. Qian, Wuyong & Chen, Jiarong & Ji, Chunyi, 2025. "A novel grey model driven by policy shifts and technological progress and its application in China's wind power supply prediction," Energy, Elsevier, vol. 335(C).
    16. Tian, Zhirui & Chen, Yujie & Wang, Guangyu, 2025. "Enhancing PV power forecasting accuracy through nonlinear weather correction based on multi-task learning," Applied Energy, Elsevier, vol. 386(C).
    17. Wang, Yong & Wen, Shixiong & Kuang, Wenyu & Fan, Neng & Yang, Zhongsen & Yang, Mou & Li, Hong-Li & Sapnken, Flavian Emmanuel & Narayanan, Govindasami, 2025. "A novel structure adaptive discrete grey Riccati model and its application in energy production and consumption," Energy, Elsevier, vol. 333(C).
    18. repec:rri:wpaper:201303 is not listed on IDEAS
    19. Ramtin Moeini & Kamran Nasiri & Seyed Hossein Hosseini, 2024. "Predicting the Water Inflow Into the Dam Reservoir Using the Hybrid Intelligent GP-ANN- NSGA-II Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 38(11), pages 4137-4159, September.
    20. Peng, Yue & Wang, Wei & Zhen, Shangsong & Liu, Yunqiang, 2024. "Does digitalization help green consumption? Empirical test based on the perspective of supply and demand of green products," Journal of Retailing and Consumer Services, Elsevier, vol. 79(C).
    21. Kajal Lahiri & Cheng Yang & Yimeng Yin, 2025. "Forecasting U.S. social security disability applications: a spatial dynamic panel data model approach," Empirical Economics, Springer, vol. 69(5), pages 2699-2725, November.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:248:y:2025:i:c:s0960148125007177. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.